000 03385nam a22004935i 4500
001 978-4-431-54493-7
003 DE-He213
005 20140220082525.0
007 cr nn 008mamaa
008 131217s2014 ja | s |||| 0|eng d
020 _a9784431544937
_9978-4-431-54493-7
024 7 _a10.1007/978-4-431-54493-7
_2doi
050 4 _aQC310.15-319
072 7 _aPHH
_2bicssc
072 7 _aSCI065000
_2bisacsh
082 0 4 _a536.7
_223
100 1 _aWatanabe, Yu.
_eauthor.
245 1 0 _aFormulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory
_h[electronic resource] /
_cby Yu Watanabe.
264 1 _aTokyo :
_bSpringer Japan :
_bImprint: Springer,
_c2014.
300 _aXIII, 122 p. 8 illus., 5 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Theses, Recognizing Outstanding Ph.D. Research,
_x2190-5053
505 0 _aIntroduction -- Reviews of Uncertainty Relations -- Classical Estimation Theory -- Quantum Estimation Theory -- Expansion of Linear Operators by Generators of Lie Algebra su(d) -- Lie Algebraic Approach to the Fisher Information Contents -- Error and Disturbance in Quantum Measurements -- Uncertainty Relations between Measurement Errors of Two Observables -- Uncertainty Relations between Error and Disturbance in Quantum Measurements -- Summary and Discussion.
520 _aIn this thesis, quantum estimation theory is applied to investigate uncertainty relations between error and disturbance in quantum measurement. The author argues that the best solution for clarifying the attainable bound of the error and disturbance is to invoke the estimation process from the measurement outcomes such as signals from a photodetector in a quantum optical system. The error and disturbance in terms of the Fisher information content have been successfully formulated and provide the upper bound of the accuracy of the estimation. Moreover, the attainable bound of the error and disturbance in quantum measurement has been derived. The obtained bound is determined for the first time by the quantum fluctuations and correlation functions of the observables, which characterize the non-classical fluctuation of the observables. The result provides the upper bound of our knowledge obtained by quantum measurements. The method developed in this thesis will be applied to a broad class of problems related to quantum measurement to build a next-generation clock standard and to successfully detect gravitational waves.
650 0 _aPhysics.
650 0 _aEducational tests and measurements.
650 0 _aMathematical physics.
650 0 _aThermodynamics.
650 1 4 _aPhysics.
650 2 4 _aThermodynamics.
650 2 4 _aQuantum Information Technology, Spintronics.
650 2 4 _aAssessment, Testing and Evaluation.
650 2 4 _aMathematical Methods in Physics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9784431544920
830 0 _aSpringer Theses, Recognizing Outstanding Ph.D. Research,
_x2190-5053
856 4 0 _uhttp://dx.doi.org/10.1007/978-4-431-54493-7
912 _aZDB-2-PHA
999 _c93698
_d93698